Aaron earns $1.50 for every video game he sells. When he sells one carton of 30 video games, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?

Answer 1

Assuming he earns an extra $10 for each carton of 30, we have

1.50x + 10(⌊x/30⌋) >= 450
x >= 246.7

check:
240 games is 8 carton, so he gets an extra $80

80 + 1.5*246 = 449.00
the 247th game earns him another $1.50, putting him at $450.50

Answer 2

x is greater than or equal to 246.70

Answer 3

Yes